A lower bound theorem for $d$-polytopes with $2d+2$ vertices

Guillermo Pineda-Villavicencio, Aholiab Tritama, Jie Wang +1

We establish a lower bound theorem for the number of $k$-faces ($1\le k\le d-2$) in a $d$-dimensional polytope $P$ (abbreviated as a $d$-polytope) with $2d+2$ vertices, extending t…